Home
Class 12
MATHS
In each of the following cases, state wh...

In each of the following cases, state whether the function is one-one, onto or bijective. Justify your answer.(i) `f : R->R ,`defined by `f (x) = 3 4x`(ii) `f : R->R ,`defined by `f(x) =1+x^2`

Text Solution

Verified by Experts

The correct Answer is:
(i) One-One and onto
(ii) Neither one-one nor onto.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.3|14 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.4|13 Videos

  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 1.1|16 Videos

  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 Videos

  • VECTOR ALGEBRA

    NCERT GUJARATI|Exercise Miscellaneous Exercise on chapter 10|18 Videos

Similar Questions

Explore conceptually related problems

In each of the following cases , state whether the function is one - one , onto or bijective. Justify your answer. f : R rarr R defined by f(x) = 3-4x .

In each of the following cases , state whether the function is one - one , onto or bijective. Justify your answer. f : R rarr R defined by f(x) = 1+x^2

Let A = [-1,1] . Then , discuss whether the following functions defined on A are one - one , onto or bijective. f(x) =x/2

If f: R rarrR is defined by f(x) =x^(2)-3x+2 , find f(f(x)).

Let A = [-1,1] . Then , discuss whether the following functions defined on A are one - one , onto or bijective. k(x) =x^2

Let A = [-1,1] . Then , discuss whether the following functions defined on A are one - one , onto or bijective. g(x) =|x|

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into